Pith Number

pith:47O2WQZK

pith:2010:47O2WQZKE7YYMBUF2QT7ATA7FC

not attested not anchored not stored refs pending

Conditional symmetries for systems of PDEs: new definitions and their application for reaction-diffusion systems

Roman Cherniha

arxiv:1005.3736 v2 · 2010-05-20 · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47O2WQZKE7YYMBUF2QT7ATA7FC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:09:34.395196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7ddab432a27f1860685d427f04c1f288c1446e3d740bc690000d6bd4df70cd2

Aliases

arxiv: 1005.3736 · arxiv_version: 1005.3736v2 · doi: 10.48550/arxiv.1005.3736 · pith_short_12: 47O2WQZKE7YY · pith_short_16: 47O2WQZKE7YYMBUF · pith_short_8: 47O2WQZK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/47O2WQZKE7YYMBUF2QT7ATA7FC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e7ddab432a27f1860685d427f04c1f288c1446e3d740bc690000d6bd4df70cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a6c6f2ba89988bf9474376aa6f28519164accee35a37096202a84c8fb01c574",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-20T15:26:47Z",
    "title_canon_sha256": "1cc96ebc30979c951aa3d15c436cd949bc05ab1ce1289f87b57f9ff9563ab435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3736",
    "kind": "arxiv",
    "version": 2
  }
}